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Simplifying 5(x + -3) + 75 = -7x Reorder the terms: 5(-3 + x) + 75 = -7x (-3 * 5 + x * 5) + 75 = -7x (-15 + 5x) + 75 = -7x Reorder the terms: -15 + 75 + 5x = -7x Combine like terms: -15 + 75 = 60 60 + 5x = -7x Solving 60 + 5x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 60 + 5x + 7x = -7x + 7x Combine like terms: 5x + 7x = 12x 60 + 12x = -7x + 7x Combine like terms: -7x + 7x = 0 60 + 12x = 0 Add '-60' to each side of the equation. 60 + -60 + 12x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 12x = 0 + -60 12x = 0 + -60 Combine like terms: 0 + -60 = -60 12x = -60 Divide each side by '12'. x = -5 Simplifying x = -5
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